On discrete fourth-order boundary value problems with three parameters

被引：31

作者：

He, Tieshan ^{[1
]}

Su, Yueliang ^{[2
]}

机构：

[1] Zhongkai Univ Agr & Engn, Dept Comp Sci, Guangzhou 510225, Guangdong, Peoples R China

[2] S China Univ Technol, Sch Business Adm, Guangzhou 510640, Guangdong, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2010年 / 233卷 / 10期

关键词：

Discrete fourth-order boundary value problems; Green's function; Critical point theory; Strongly monotone operator principle; POSITIVE SOLUTIONS; DIFFERENCE-EQUATIONS; CRITICAL-POINTS; EXISTENCE; MULTIPLICITY;

D O I：

10.1016/j.cam.2009.10.032

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the existence, multiplicity, and nonexistence results of nontrivial solutions are obtained for discrete nonlinear fourth-order boundary value problems with three parameters. The methods used here are based on the critical point theory and monotone operator theory. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：2506 / 2520

页数：15

共 50 条

[21] An efficient method for fourth-order boundary value problems
Noor, Muhammad Aslam
Mohyud-Din, Syed Tauseef
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2007, 54 (7-8) : 1101 - 1111
[22] Multiple solutions to fourth-order boundary value problems
Cui, Yaqiong
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 57 (04) : 643 - 649
[23] Extremal solutions of fourth-order boundary value problems
Vasil'ev, N. I.
Lepin, A. Ya
Lepin, L. A.
DIFFERENTIAL EQUATIONS, 2012, 48 (01) : 1 - 10
[24] Existence of infinitely many solutions of nonlinear fourth-order discrete boundary value problems
Chen, Yanshan
Zhou, Zhan
BOUNDARY VALUE PROBLEMS, 2022, 2022 (01)
[25] Sign-changing solutions to discrete fourth-order Neumann boundary value problems
Jingping Yang
Advances in Difference Equations, 2013
[26] Sign-changing solutions to discrete fourth-order Neumann boundary value problems
Yang, Jingping
ADVANCES IN DIFFERENCE EQUATIONS, 2013,
[27] Existence of infinitely many solutions of nonlinear fourth-order discrete boundary value problems
Yanshan Chen
Zhan Zhou
Boundary Value Problems, 2022
[28] Existence of Solutions of a Discrete Fourth-Order Boundary Value Problem
Ma, Ruyun
Gao, Chenghua
Chang, Yongkui
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2010, 2010
[29] Existence of Positive Solutions for Fourth-Order Three-Point Boundary Value Problems
Chuanzhi Bai
Boundary Value Problems, 2007
[30] Fourth-order compact finite difference method for fourth-order nonlinear elliptic boundary value problems
Wang, Yuan-Ming
Guo, Ben-Yu
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2008, 221 (01) : 76 - 97

← 1 2 3 4 5 →